Question

Using the predicate symbols shown and the appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.)

B(x) is “x is a ball.”

R(x) is “x is round.”

S(x) is “x is a soccer ball.”

- All soccer balls are round. ______________________
- Some balls are soccer balls.____________________
- There exists a ball that is not a soccer ball._________________
- Every ball is round.___________________________

Answer #1

**EXPLANATION:**

**(a)** "All soccer balls are round." can be
restated as "For every object x in the world, if x is a soccer ball
then x is round."

**(b)** "Some balls are soccer balls." can be
restated as "For some object x in the world, if x is a ball then x
is a soccer ball."

**(c)** "There exists a ball that is not a soccer
ball." can be restated as "There exists an object x in the world
such that x is a ball and x is not a soccer ball."

**(d)** "Every ball is round." can be restated as
"For every object x in the world, if x is a ball then x is
round."

Negate each of the statement below as an English sentence. For
each sentence, introduce predicate and domain and express the
sentence in terms of predicate and quantifiers symbolically, then
negate the sentence symbolically and then as an English
sentence.
(c) For every two integers n and m, if n or m is even then nm is
even.
(d) There is a program that gives the correct answer to every
question that is posed to it.

a) Write equivalent predicate statements for the following
English statement
i. Every teacher loves some painter [2]
ii. Some painter loves some teacher [2]
iii. Every teacher who is also a painter loves Bob [3]
b) If you send me an email, then I will finish my program. If you
do not send me an email, then I will go
to sleep early. Therefore If I go to sleep early. Is this argument
valid [10]

1.Write the negation of the following statement in English. Do
not simply add the words “not” or “it is not the case that” or
similar before the existing statement. “Every dog likes
some flavor of Brand XYZ dog food.”
2. Prove that the compound statements are logically equivalent
by using the basic logical equivalences (13 rules). At each step,
state which basic logical equivalence you are using. (p → q) ∧ (¬r
→ q) and (p ∨ ¬r) → q

Relations and Functions
Usual symbols for the above are;
Relations: R1, R2, S, T, etc
Functions: f, g, h, etc. But remember a function is a special
kind of relation so it might turn out that a Relation, R, is a
function, too.
Relations
To understand the symbolism better, let’s say the domain of a
relation, R, is A = { a, b , c} and the Codomain is B = {
1,2,3,4}.
Here is the relation: a R 1, ...

Consider the hypothesis statement shown below using
alphaequals0.05 and the data to the right from two independent
samples.
Upper H 0 : mu 1 minus mu 2 greater than or equals 0
Upper H 1 : mu 1 minus mu 2 less than 0
?a) Calculate the appropriate test statistic and interpret the
result.
?b) Calculate the? p-value and interpret the result.
x overbar1
equals
121
x overbar2
equals
137
sigma1
equals
40
sigma2
equals
34
n1
equals
45
n2...

Homework
Draw class diagrams for your HW4 - the Tetris Game shown
below:
Part 1: UML As a review, Here are some links to some
explanations of UML diagrams if you need them.
•
https://courses.cs.washington.edu/courses/cse403/11sp/lectures/lecture08-uml1.pdf
(Links to an external site.)
• http://creately.com/blog/diagrams/class-diagram-relationships/
(Links to an external site.)
• http://www.cs.bsu.edu/homepages/pvg/misc/uml/ (Links to an
external site.) However you ended up creating the UML from HW4,
your class diagram probably had some or all of these features:
• Class variables: names, types, and...

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Identify the suitable manager.
to make sure our work will proceed
as we planned, Golden Scent willrecruit a virtual manager with the
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Find the skilled people to work with.
Since not everyone...

Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

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